Abstract
This paper is a continuation of the work in [RS], where we studied Demazure operators for the imprimitive complex reflection group and constructed a homogeneous basis of the coinvariant algebra . In this paper, we study a similar problem for the reflection subgroup of . We prove, by assuming certain conjectures, that the operators are linearly independent over the symmetric algebra . We define a graded space in terms of Demazure operators, and we show that the coinvariant algebra is naturally isomorphic to . Then we can define a homogeneous basis of parametrized by .
Citation
Konstantinos Rampetas*. "DEMAZURE OPERATORS FOR COMPLEX REFLECTION GROUPS ." SUT J. Math. 34 (2) 179 - 196, June 1998. https://doi.org/10.55937/sut/991985358
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