Titlebook: Clifford Algebras and Lie Theory; Eckhard Meinrenken Book 2013 Springer-Verlag Berlin Heidelberg 2013 Clifford algebras.Dirac operators.Li

臉紅

書目名稱Clifford Algebras and Lie Theory影響因子(影響力)




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書目名稱Clifford Algebras and Lie Theory網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Clifford Algebras and Lie Theory被引頻次




書目名稱Clifford Algebras and Lie Theory被引頻次學(xué)科排名




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書目名稱Clifford Algebras and Lie Theory讀者反饋學(xué)科排名

constellation

Enrage

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.

ascend

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.

EPT

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.

Cardioplegia

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.

Cardioplegia

CHOIR

痛苦一生

泥瓦匠

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.