冬眠
发表于 2025-3-23 11:08:19
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.
GLOOM
发表于 2025-3-23 16:00:43
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Fulsome
发表于 2025-3-23 19:40:47
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臭名昭著
发表于 2025-3-23 23:58:22
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 .=ℂ. is used to derive interesting properties of the spin groups, with applications to compact Lie groups.
Migratory
发表于 2025-3-24 03:27:52
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.
narcotic
发表于 2025-3-24 07:10:53
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不可侵犯
发表于 2025-3-24 14:27:29
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.
TIGER
发表于 2025-3-24 15:36:10
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神经
发表于 2025-3-24 22:35:41
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 ..
SUE
发表于 2025-3-25 02:55:05
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