Abstract
In this paragraph, we consider a torus T, that is a commutative connected reductive group over k, and a linear action of T on a vector space E of finite dimension r over k. We shall assume that all weights of T in E are positive with respect to some linear partial ordering ≥. We assume that the semi—group of positive (integral) weights in finitely generated. For example, T might be the group of homotheties of E. In the applications in subsequent chapters, T will be the maximal torus in a semisimple group, E will be the nilradical of a Borel subalgebra.
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© 1989 Birkhäuser Boston, Inc.
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Borho, W., Brylinski, JL., MacPherson, R. (1989). Equivariant K—theory of torus actions and formal characters. In: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes. Progress in Mathematics, vol 78. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4558-2_4
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DOI: https://doi.org/10.1007/978-1-4612-4558-2_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8910-4
Online ISBN: 978-1-4612-4558-2
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