Canonical bases of invariant polynomials for the irreducible reflection groups of types E6, E7, and E8
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DOI: 10.1016/j.jalgebra.2018.01.017
Abstract: Abstract Given a rank n irreducible finite reflection group W, the W-invariant polynomial functions defined in R n can be written as polynomials of n algebraically independent homogeneous polynomial functions, p 1 ( x )… read more here.
Keywords: canonical bases; groups types; bases invariant; invariant polynomials ... See more keywords
ON CANONICAL BASES AND INDUCTION OF $W$-GRAPHS
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DOI: 10.1017/nmj.2018.26
Abstract: A canonical basis in the sense of Lusztig is a basis of a free module over a ring of Laurent polynomials that is invariant under a certain semilinear involution and is obtained from a fixed… read more here.
Keywords: induction graphs; canonical bases; basis; bases induction ... See more keywords