10 citations · 14 across the 7 of their papers we have counts for
7 papers
Branching rule for
Andrei Gornitskii
We study the branching problem for the pair . We describe the corresponding branching rule in terms of a semigr…
Essential Semigroups and Branching Rules
Andrei Gornitskii
Let be a semisimple complex Lie algebra of finite dimension and be a semisimple subalgebra. We present an approach to find the branching rules for the…
Quasi-connected reductive groups
Mikhail Borovoi, Andrei A. Gornitskii, Zev Rosengarten
We introduce the notion of a quasi-connected reductive group over an arbitrary field to be an almost direct product of a connected semisimple group and a quasi-torus (a smooth grou…
Taking quotient by a unipotent group induces a homotopy equivalence
Mikhail Borovoi, Andrei Gornitskii
Let U be a unipotent group over the field of complex numbers C, acting on a complex algebraic variety X. Assume that there exists a surjective morphism of complex algebraic varieti…
Galois cohomology of real quasi-connected reductive groups
Mikhail Borovoi, Andrei A. Gornitskii, Zev Rosengarten
By a quasi-connected reductive group (a term of Labesse) over an arbitrary field we mean an almost direct product of a connected semisimple group and a quasi-torus (a smooth group…
Essential Signatures and Monomial Bases for and
A. A. Gornitskii
In the representation theory of simple Lie algebras, we consider the problem of constructing a monomial basis in an arbitrary irreducible finite-dimensional highest weight module.…
Essential Signatures and Canonical Bases for Irreducible Representations of
A. A. Gornitskii
In the representation theory of simple Lie algebras, we consider the problem of constructing a "canonical" weight basis in an arbitrary irreducible finite-dimensional highest weigh…