In this work we discuss some appearances of semi-infi nite combinatorics in representation theory. We propose a semi-in finite moment graph theory and we motivate it by considering the (not yet rigorously de fined) geometric side of the story. We show that it is possible to compute stalks of the local intersection cohomology of the semi-infinite flag variety, and hence of spaces of quasi maps, by performing an algorithm due to Braden and MacPherson.
Lanini, M. (2017). Semi-infinite combinatorics in representation theory. In G.L. Henning Krause (Universität Bielefeld (a cura di), Representation Theory – Current Trends and Perspectives (pp. 501-518). Zurich : European Mathematical Society Publishing House [10.4171/171-1/16].
Semi-infinite combinatorics in representation theory
Lanini, Martina
2017-01-01
Abstract
In this work we discuss some appearances of semi-infi nite combinatorics in representation theory. We propose a semi-in finite moment graph theory and we motivate it by considering the (not yet rigorously de fined) geometric side of the story. We show that it is possible to compute stalks of the local intersection cohomology of the semi-infinite flag variety, and hence of spaces of quasi maps, by performing an algorithm due to Braden and MacPherson.| File | Dimensione | Formato | |
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