تقرير
Invariants of polynomials mod Frobenius powers
| العنوان: | Invariants of polynomials mod Frobenius powers |
|---|---|
| المؤلفون: | Drescher, C., Shepler, A. V. |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Commutative Algebra, Mathematics - Representation Theory, 13A50, 20F55, 05Axx |
| الوصف: | Lewis, Reiner, and Stanton conjectured a Hilbert seriesfor a space of invariants under an action of finite general linear groups using $(q,t)$-binomial coefficients. This work gives an analog in positive characteristic of theorems relating various Catalan numbers to the representation theory of rational Cherednik algebras. They consider a finite general linear group as a reflection group acting on the quotient of a polynomial ring by iterated powers of the irrelevant ideal under the Frobenius map. We prove a variant of their conjecture in the local case, when the group acting fixes a reflecting hyperplane. Comment: 23 pages, includes full stabilizer subgroups for q a prime power |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/1908.05259Test |
| رقم الانضمام: | edsarx.1908.05259 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |