التفاصيل البيبلوغرافية
| العنوان: |
Invariants of polynomials mod Frobenius powers. |
| المؤلفون: |
Drescher, C.1 (AUTHOR) chelseadrescher@my.unt.edu, Shepler, A.V.1 (AUTHOR) ashepler@unt.edu |
| المصدر: |
Journal of Algebra. Aug2020, Vol. 556, p908-935. 28p. |
| مصطلحات موضوعية: |
*NUMBER theory, *REPRESENTATION theory, *POLYNOMIALS, *QUOTIENT rings, *CATALAN numbers, *BINOMIAL coefficients |
| مستخلص: |
Lewis, Reiner, and Stanton conjectured a Hilbert series for 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. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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