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 …

The polynomial invariants of finite groups have been studied for more than a century now
and continue to find new applications and generate interesting problems. In this article we …

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 …

Let ϱ: G↪ GL (n, F) be a representation of a finite groupGover the field F and F [V] the space
of polynomial functions onV= F n. We associate toGan idealJ∞(G)⊂ F [V] called the ideal of …

and identify it with the ideal J∞(WG)⊂ H∗(BT; IFp) of stable invariants of the Weyl group.
We apply our results to determine by means of the action of WG on H∗(BT; IFp) the odd …

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 …

arXiv:1204.4663v2 [math.AG] 23 Aug 2013 Page 1 arXiv:1204.4663v2 [math.AG] 23 Aug 2013
ERRATUM: ON THE TORSION OF CHOW GROUPS OF TWISTED SPIN-FLAGS SANGHOON …

In this paper, we extend the definition of generalized invariants for any finite group. Further,
we describe the structure of generalized invariants of a cyclic group for lower dimensional …

Abstract Let ρ: G↪ GL (n, 𝔽) be a representation of a finite group G over the field 𝔽 and let
H≤ G be a subgroup of G. Form the algebra of polynomial functions 𝔽 [V] on the …