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- W4255084622 abstract "Publisher SummaryThis chapter describes the Weil algebra. Let E be a finite dimensional Lie algebra. Let E* denote the graded space with E* as underlying vector space and deg x* = 2, x* ∊ E*. The chapter introduces an antiderivation δW, of square zero is introduced in the algebra W(E)= V E*⊗ Λ E*; the resulting graded differential algebra is called the Weil algebra of E. The adjoint representation of E induces a representation of E in (W(E), δW ). The main result of the chapter states that H+(W(E)=) 0 and H+(W(E)θ= o) = 0. This chapter determines H(G) for the classical compact Lie groups. Explicit invariant multilinear functions in E and closed differential forms on G are constructed and presented to yield bases of these spaces." @default.
- W4255084622 created "2022-05-12" @default.
- W4255084622 date "1972-01-01" @default.
- W4255084622 modified "2023-09-26" @default.
- W4255084622 title "Chapter VI The Weil Algebra" @default.
- W4255084622 doi "https://doi.org/10.1016/s0079-8169(08)60511-5" @default.
- W4255084622 hasPublicationYear "1972" @default.
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