The Weil Algebra and the Weil Model
2020 ◽
pp. 151-160
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This chapter evaluates the Weil algebra and the Weil model. The Weil algebra of a Lie algebra g is a g-differential graded algebra that in a definite sense models the total space EG of a universal bundle when g is the Lie algebra of a Lie group G. The Weil algebra of the Lie algebra g and the map f is called the Weil map. The Weil map f is a graded-algebra homomorphism. The chapter then shows that the Weil algebra W(g) is a g-differential graded algebra. The chapter then looks at the cohomology of the Weil algebra; studies algebraic models for the universal bundle and the homotopy quotient; and considers the functoriality of the Weil model.
2020 ◽
pp. 145-150
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2005 ◽
Vol 15
(03)
◽
pp. 793-801
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2015 ◽
Vol 2015
◽
pp. 1-9
◽
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2020 ◽
pp. 97-102
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2020 ◽
pp. 161-166
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1965 ◽
Vol 17
◽
pp. 550-558
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