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Representations of Rational Cherednik Algebras in Positive Characteristic
Rational Cherednik Algebras Positive Characteristic Representation Theory
2011/8/24
Abstract: We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Chered...
Essential dimension of simple algebras in positive characteristic
Essential dimension simple algebras positive characteristic
2011/2/24
Let p be a prime integer, 1 ≤ s ≤ r integers, F a field of characteristic p.
In prime characteristic we introduce the notion of restricted pre-Lie algebra. We prove in the pre-Lie context the analogue to Jacobson's theorem for restricted Lie algebras. In particular, we prove t...
Parity conjectures for elliptic curves over global fields of positive characteristic
Parity conjectures elliptic curves positive characteristic
2010/11/19
We prove the $p$-parity conjecture for elliptic curves over global fields of characteristic $p > 3$. We also present partial results on the $\ell$-parity conjecture for primes $\ell \neq p$.
Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps
Computing invariants via slicing groupoids Gel'fand MacPherson
2010/11/22
We offer a groupoid-theoretic approach to computing invariants. We illustrate this approach by describing the Gel'fand-MacPherson correspondence and the Gale transform as well as giving Zariski-local...
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Representation Growth positive characteristic conjugacy classes of maximal subgroups
2010/12/6
There have been a number of recent papers on the representation growth of various families of groups. In particular, see [LL], where very good estimates were given for the zeta function counting the c...
Monomial Hopf algebras over fields of positive characteristic
Monomial Hopf algebras positive characteristic
2018/4/20
This paper can be looked as a continues work of [3] where the authors classified all the Hopf structures on monomial coalgebras over a field of characteristic zero and containing all roots of unity. L...