標(biāo)題: Titlebook: Clifford Algebras and Lie Theory; Eckhard Meinrenken Book 2013 Springer-Verlag Berlin Heidelberg 2013 Clifford algebras.Dirac operators.Li [打印本頁(yè)] 作者: 臉紅 時(shí)間: 2025-3-21 19:52
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory影響因子(影響力)
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory被引頻次
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory被引頻次學(xué)科排名
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory年度引用
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory年度引用學(xué)科排名
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory讀者反饋
書(shū)目名稱(chēng)Clifford Algebras and Lie Theory讀者反饋學(xué)科排名
作者: constellation 時(shí)間: 2025-3-21 20:26 作者: Enrage 時(shí)間: 2025-3-22 01:48
The spin representation,ible Clifford module, the so-called spinor module. We give a discussion of pure spinors and their relation with Lagrangian subspaces, followed by a proof of Cartan’s triality principle. The classification of spinor modules for the case .=?. is used to derive interesting properties of the spin groups, with applications to compact Lie groups.作者: ascend 時(shí)間: 2025-3-22 06:41
Enveloping algebras,s to present a proof of this result, due to E. Petracci, which is similar to the proof that the quantization map for Clifford algebras is an isomorphism. The proof builds on a discussion of the Hopf algebra structure on the enveloping algebra, and the fact that the quantization map .. preserves the comultiplication.作者: EPT 時(shí)間: 2025-3-22 09:42
Weil algebras,l algebra. As a .-differential algebra, this is shown to be quasi-isomorphic to?.. The chapter concludes with applications of the two Weil algebras to Chern–Weil theory, equivariant cohomology, and transgression.作者: Cardioplegia 時(shí)間: 2025-3-22 16:48
Applications to reductive Lie algebras, interpretation in terms of the spin representation. Following Kostant’s work, we consider applications of the cubic Dirac operator . for equal rank pairs. This includes the Gross–Kostant–Ramond–Sternberg results on multiplets of representations for equal rank Lie subalgebras, as well as aspects of Dirac induction.作者: Cardioplegia 時(shí)間: 2025-3-22 20:00 作者: CHOIR 時(shí)間: 2025-3-22 21:22 作者: 痛苦一生 時(shí)間: 2025-3-23 03:09 作者: 泥瓦匠 時(shí)間: 2025-3-23 06:31
https://doi.org/10.1057/9780230584174and the Transgression Theorem, showing that the space of primitive elements coincides with the image of the transgression map for the Weil algebra. The proofs make extensive use of Lie algebra homology and cohomology.作者: 冬眠 時(shí)間: 2025-3-23 11:08
Symmetric bilinear forms, product of reflections, and Witt’s Theorem giving a partial normal form for quadratic forms. The theory of split symmetric bilinear forms is found to have many parallels to the theory of symplectic forms, and we will give a discussion of the Lagrangian Grassmannian in this spirit.作者: GLOOM 時(shí)間: 2025-3-23 16:00 作者: Fulsome 時(shí)間: 2025-3-23 19:40 作者: 臭名昭著 時(shí)間: 2025-3-23 23:58
https://doi.org/10.1057/9780230505537ible Clifford module, the so-called spinor module. We give a discussion of pure spinors and their relation with Lagrangian subspaces, followed by a proof of Cartan’s triality principle. The classification of spinor modules for the case .=?. is used to derive interesting properties of the spin groups, with applications to compact Lie groups.作者: Migratory 時(shí)間: 2025-3-24 03:27
https://doi.org/10.1057/9780230505537s to present a proof of this result, due to E. Petracci, which is similar to the proof that the quantization map for Clifford algebras is an isomorphism. The proof builds on a discussion of the Hopf algebra structure on the enveloping algebra, and the fact that the quantization map .. preserves the comultiplication.作者: narcotic 時(shí)間: 2025-3-24 07:10 作者: 不可侵犯 時(shí)間: 2025-3-24 14:27
Palgrave Macmillan Asian Business Series interpretation in terms of the spin representation. Following Kostant’s work, we consider applications of the cubic Dirac operator . for equal rank pairs. This includes the Gross–Kostant–Ramond–Sternberg results on multiplets of representations for equal rank Lie subalgebras, as well as aspects of Dirac induction.作者: TIGER 時(shí)間: 2025-3-24 15:36 作者: 神經(jīng) 時(shí)間: 2025-3-24 22:35
https://doi.org/10.1057/9780230505537 in?∧.(.). These questions will be studied using the spin representation for the vector space ..⊕., with bilinear form given by the pairing. One of the outcomes of this discussion is the construction of a remarkable ∧(.)-valued function on the orthogonal Lie algebra, which will play a role in our discussion of the Duflo theorem in Chapter?..作者: SUE 時(shí)間: 2025-3-25 02:55 作者: 臥虎藏龍 時(shí)間: 2025-3-25 04:46 作者: CHANT 時(shí)間: 2025-3-25 09:52
The Clifford algebra of a reductive Lie algebra,elements onto the linear subspace .. The chapter concludes with a conjecture of Kostant, expressing the resulting filtration of . in terms of the “principal TDS”. The conjecture was established in 2012 by Joseph, in conjunction with work of Alekseev–Moreau.作者: 1FAWN 時(shí)間: 2025-3-25 13:23 作者: 身心疲憊 時(shí)間: 2025-3-25 17:18
Clifford algebras,terior algebra ∧(.), and in the general case the Clifford algebra can be regarded as a deformation of the exterior algebra. In this chapter after constructing the Clifford algebra and describing its basic properties, we study in detail the quantization map .: ∧(.)→Cl(.) and justify the term “quantiz作者: 侵略 時(shí)間: 2025-3-25 23:50 作者: CLAIM 時(shí)間: 2025-3-26 01:33 作者: 憤怒事實(shí) 時(shí)間: 2025-3-26 05:24 作者: Apogee 時(shí)間: 2025-3-26 09:09
Weil algebras,ng commutative .-differential algebras with connection. As an associative algebra, the Weil algebra is the tensor product of the symmetric algebra and the exterior algebra of?.. By considering non-commutative .-differential algebras with connection, we are led to introduce also a non-commutative Wei作者: integrated 時(shí)間: 2025-3-26 15:56
Quantum Weil algebras,y the enveloping algebra . of a Lie algebra is a quantization of the symmetric algebra .. In this chapter we will consider a similar quantization of the Weil algebra ., for any Lie algebra . with a non-degenerate invariant inner product .. For a suitable choice of generators, the quantum Weil algebr作者: effrontery 時(shí)間: 2025-3-26 18:25 作者: 積習(xí)已深 時(shí)間: 2025-3-26 22:07 作者: 努力趕上 時(shí)間: 2025-3-27 04:39 作者: Irrigate 時(shí)間: 2025-3-27 09:02
The Clifford algebra of a reductive Lie algebra, algebra analogue” of the Hopf–Koszul–Samelson Theorem, stating that the invariant subspace of . is the Clifford algebra over the quantization of the primitive subspace?.. Further results include the “.-decomposition” ., and the expansion of linear elements . in terms of the .-decomposition. It lead作者: GLADE 時(shí)間: 2025-3-27 12:42
ul–Samelson theorem, and explains his fascinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principal sl(2) subalgebra..Aside from these beautiful applications, the book wil978-3-642-54466-8978-3-642-36216-3作者: Surgeon 時(shí)間: 2025-3-27 14:07 作者: TEN 時(shí)間: 2025-3-27 18:39 作者: 運(yùn)氣 時(shí)間: 2025-3-27 21:59
978-3-642-54466-8Springer-Verlag Berlin Heidelberg 2013作者: 詩(shī)集 時(shí)間: 2025-3-28 05:18
Responses to Nazism in Britain, 1933-1939thogonal groups. Among the highlights of this discussion are the Cartan–Dieudonné Theorem, which states that any orthogonal transformation is a finite product of reflections, and Witt’s Theorem giving a partial normal form for quadratic forms. The theory of split symmetric bilinear forms is found to作者: 護(hù)航艦 時(shí)間: 2025-3-28 09:22 作者: ECG769 時(shí)間: 2025-3-28 11:23 作者: Foreknowledge 時(shí)間: 2025-3-28 15:43
https://doi.org/10.1057/9780230505537(.)) is a Lie subalgebra under commutation in the Clifford algebra. This subspace is canonically isomorphic to the orthogonal Lie algebra of ., and the restriction of the exponential map for the Clifford algebra is identified with the exponential map for the spin group. One of the problems addressed作者: Humble 時(shí)間: 2025-3-28 22:39 作者: OATH 時(shí)間: 2025-3-29 01:19
Responses to Nazism in Britain, 1933-1939ng commutative .-differential algebras with connection. As an associative algebra, the Weil algebra is the tensor product of the symmetric algebra and the exterior algebra of?.. By considering non-commutative .-differential algebras with connection, we are led to introduce also a non-commutative Wei作者: mucous-membrane 時(shí)間: 2025-3-29 06:34
Palgrave Macmillan Asian Business Seriesy the enveloping algebra . of a Lie algebra is a quantization of the symmetric algebra .. In this chapter we will consider a similar quantization of the Weil algebra ., for any Lie algebra . with a non-degenerate invariant inner product .. For a suitable choice of generators, the quantum Weil algebr作者: 現(xiàn)存 時(shí)間: 2025-3-29 08:09 作者: Proclaim 時(shí)間: 2025-3-29 13:49
Responses to Regionalism in East Asiater, we show that if . and . are the Lie algebras of a Lie group . with a closed subgroup ., then . is realized as a geometric Dirac operator over the homogeneous space ./., for a left-invariant connection with nonzero torsion. Such Dirac operators had been studied by Slebarski in the late 1980s.作者: 裁決 時(shí)間: 2025-3-29 17:05 作者: 金盤(pán)是高原 時(shí)間: 2025-3-29 21:09
Responses to Regionalism in East Asia algebra analogue” of the Hopf–Koszul–Samelson Theorem, stating that the invariant subspace of . is the Clifford algebra over the quantization of the primitive subspace?.. Further results include the “.-decomposition” ., and the expansion of linear elements . in terms of the .-decomposition. It lead
