13 citations · 14 across the 2 of their papers we have counts for
5 papers
Representations of the general linear groups which are irreducible over subgroups
Alexander S. Kleshchev, Pham Huu Tiep
We classify all triples such that , is a representation of of dimension greater than one over an algebraically closed field $\FF$ of ch…
Hall-Higman type theorems for semisimple elements of finite classical groups
Pham Huu Tiep, Alexander E. Zalesskii
We prove an analogue of the celebrated Hall-Higman theorem, which gives a lower bound for the degree of the minimal polynomial of any semisimple element of prime power order $p^{a}…
Representations of finite special linear groups in non-defining characteristic
Alexander S. Kleshchev, Pham Huu Tiep
We determine precisely the number of irreducible summands of an irreducible cross characteristic representation of on restriction to . Combined with a recent…
Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras
P. Oscar Boykin, Meera Sitharam, Pham Huu Tiep +1
We establish a connection between the problem of constructing maximal collections of mutually unbiased bases (MUBs) and an open problem in the theory of Lie algebras. More precisel…
Decompositions of Small Tensor Powers and Larsen's Conjecture
Robert M. Guralnick, Pham Huu Tiep
We classify all pairs (G,V) with G a closed subgroup in a classical group with natural module V over the complex numbers such that G has the same composition factors on the kth ten…