里程碑 发表于 2025-3-27 00:51:06

http://reply.papertrans.cn/89/8820/881931/881931_31.png

疾驰 发表于 2025-3-27 02:23:27

Characteristic Classes,racteristic classes. But we have not really written down what the ring . (.*). is for any group .. The main function of this chapter is to remedy this by summarizing standard computations of . (.*). for various important groups. Suppose that: ø : . → . is a Lie group homomorphism, and let . denote t

heart-murmur 发表于 2025-3-27 05:24:31

Equivariant Symplectic Forms,be considered as a . equivariant map,.from the Lie algebra, . to the space of smooth functions on .. For each . ∈ ., ø (.) is a smooth function on ., and this function depends linearly on . Therefore, for each . ∈ ., the value ø (.(.)) depends linearly on, so we can think of ø as defining a map from

ALIBI 发表于 2025-3-27 12:22:19

http://reply.papertrans.cn/89/8820/881931/881931_34.png

Watemelon 发表于 2025-3-27 13:40:47

http://reply.papertrans.cn/89/8820/881931/881931_35.png

Forehead-Lift 发表于 2025-3-27 20:06:58

http://reply.papertrans.cn/89/8820/881931/881931_36.png

VOC 发表于 2025-3-28 01:23:52

Characteristic Classes,he Lie algebra of .. The induced Lie algebra map . → . dualizes to a map .* → .* which extends to an algebra homomorphism .(.*). → S(.*).. We will examine this homomorphism for various examples of inclusions of classical groups.

补角 发表于 2025-3-28 02:25:17

http://reply.papertrans.cn/89/8820/881931/881931_38.png

影响 发表于 2025-3-28 07:01:07

The Weil Model and the Cartan Model,tation of (. ⊗ .). is complicated. So we will begin with a theorem of Mathai and Quillen which shows how to find an automorphism of . ⊗ . which simplifies this computation. For technical reasons we will work with . ⊗ . instead of . ⊗ . and replace . by an arbitrary .⋆ module.

反复拉紧 发表于 2025-3-28 11:35:57

http://reply.papertrans.cn/89/8820/881931/881931_40.png
页: 1 2 3 [4] 5
查看完整版本: Titlebook: Supersymmetry and Equivariant de Rham Theory; Victor W. Guillemin,Shlomo Sternberg,Jochen Brünin Book 1999 Springer-Verlag Berlin Heidelbe