Eric Marberg

activity

20072026

most citedSupercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

105 citations · 532 across the 58 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CO2014★ 1 cited

Variations of the Poincaré series for affine Weyl groups and q-analogues of Chebyshev polynomials

Eric Marberg, Graham White

Let $(W, S)$ be a Coxeter system and write $P_{W} (q)$ for its Poincaré series. Lusztig has shown that the quotient $P_{W} (q^{2}) / P_{W} (q)$ is equal to a certain power series $L_{W} (q)$ , def…

math.RT2014★ 8 cited

Bar operators for quasiparabolic conjugacy classes in a Coxeter group

Eric Marberg

The action of a Coxeter group $W$ on the set of left cosets of a standard parabolic subgroup deforms to define a module $M^{J}$ of the group's Iwahori-Hecke algebra $\mathc…

math.RT2014★ 1 cited

Comparing and characterizing some constructions of canonical bases from Coxeter systems

Eric Marberg

The Iwahori-Hecke algebra $H$ of a Coxeter system $(W, S)$ has a "standard basis" indexed by the elements of $W$ and a "bar involution" given by a certain antilinear map.…