V. Shchigolev

activity

20032026

most citedRectangular low level case of modular branching problem for GL_n(K)

3 citations · 13 across the 17 of their papers we have counts for

collaborators

19 papers

math.RT2026

Homomorphisms between Bott-Samelson bimodules corresponding to sequences of reflections

Vladimir Shchigolev

We study the space of all bimodule homomorphisms $R_{x} \otimes_{R} R (t) \otimes_{R} R_{y} \to R_{z} \otimes_{R} R (t^{'}) \otimes_{R} R_{w}$ as a one-sided module, where $R_x,R_y,R…

math.RT2025

Cycles in subexpression graphs

Vladimir Shchigolev

Let $S (s, w)$ be the graph whose vertices are all subexpressions with target $w$ of a fixed expression $s$ in generators of a Coxeter group and ed…

math.AT2023

Twisted actions on cohomologies and bimodules

Vladimir Shchigolev

We introduce a twisted action of the equivariant cohomology of the singleton $H_{R}^{∙} (pt, k)$ on the equivarinat cohomology $H_{L}^{∙} (X, k)$ of an $L$ -space $X$ .…

math.AG2021

Galleries for root subsystems

Vladimir Shchigolev

We consider projection and lifting of labelled galleries to and from roots subsystems. Our constructions allow us to construct some topological embeddings of Bott-Samelson varietie…

math.RT2020

Tensor product decompositions for cohomologies of Bott-Samelson varieties

Vladimir Shchigolev

Let $T$ be a maximal torus of a semisimple complex algebraic group, $BS (s)$ be the Bott-Samelson variety for a sequence of simple reflections $s$ and $BS (s)^{T}$ be…

math.RT2020

Nested fibre bundles in Bott-Samelson varieties

Vladimir Shchigolev

We give a topological explanation of the main results of V.Shchigolev, Categories of Bott-Samelson Varieties, Algebras and Representation Theory, 23 (2), 349-391, 2020. To this end…