[图书][B] Polynomial invariants of finite groups
L Smith - 1995 - taylorfrancis.com
Written by an algebraic topologist motivated by his own desire to learn, this well-written book
represents the compilation of the most essential and interesting results and methods in the …
represents the compilation of the most essential and interesting results and methods in the …
On the topology of Kac-Moody groups
N Kitchloo - arXiv preprint arXiv:0810.0851, 2008 - arxiv.org
We study the topology of spaces related to Kac-Moody groups. Given a split Kac-Moody
group over the complex numbers, let K denote the unitary form with maximal torus T having …
group over the complex numbers, let K denote the unitary form with maximal torus T having …
Twisted quadratic foldings of root systems
M Lanini, K Zainoulline - St. Petersburg Mathematical Journal, 2022 - ams.org
The present paper is devoted to twisted foldings of root systems that generalize the
involutive foldings corresponding to automorphisms of Dynkin diagrams. A motivating …
involutive foldings corresponding to automorphisms of Dynkin diagrams. A motivating …
Canonical p-dimensions of algebraic groups and degrees of basic polynomial invariants
K Zainoulline - Bulletin of the London Mathematical Society, 2007 - academic.oup.com
We provide a new, uniform, way to compute a canonical p-dimension of a split algebraic
group G for a torsion prime p using degrees of basic polynomial invariants described by V …
group G for a torsion prime p using degrees of basic polynomial invariants described by V …
Equivariant coinvariant rings, Bott–Samelson rings and Watanabe's bold conjecture
C McDaniel, L Smith - Journal of Pure and Applied Algebra, 2021 - Elsevier
Modeled on work of Bott–Samelson, Soergel, and Elias–Williamson we introduce the Bott–
Samelson ring BS‾(s 1, s 2,…, sk) associated to reflections s 1, s 2,…, sk∈ GL (n, F) where F …
Samelson ring BS‾(s 1, s 2,…, sk) associated to reflections s 1, s 2,…, sk∈ GL (n, F) where F …
Preludes to the Eilenberg–Moore and the Leray–Serre spectral sequences
Abstract The Leray–Serre and the Eilenberg–Moore spectral sequences are fundamental
tools for computing the cohomology of a group or, more generally, of a space. We describe …
tools for computing the cohomology of a group or, more generally, of a space. We describe …
Torsion in the cohomology of finite loop spaces and the Eilenberg–Moore spectral sequence
F Neumann - Topology and its Applications, 2000 - Elsevier
Torsion in the cohomology of finite loop spaces and the Eilenberg–Moore spectral sequence
Page 1 Topology and its Applications 100 (2000) 133–150 Torsion in the cohomology of finite …
Page 1 Topology and its Applications 100 (2000) 133–150 Torsion in the cohomology of finite …