47 citations · 99 across the 11 of their papers we have counts for
4 papers · 1 filter
Category O for the rational Cherednik algebra associated to the complex reflection group G_12
Martina Balagovic, Christopher Policastro
In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflecti…
On the Lower Central Series Quotients of a Graded Associative Algebra
Martina Balagovic, Anirudha Balasubramanian
We continue the study of the lower central series L_i(A) and its successive quotients B_i(A) of a noncommutative associative algebra A, defined by L_1(A)=A, L_{i+1}(A)=[A,L_i(A)],…
Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3
Martina Balagovic, Arjun Puranik
This paper describes irreducible representations in category O of the rational Cherednik algebra H_c(H_3,h) associated to the exceptional Coxeter group H_3 and any complex paramete…
Chevalley restriction theorem for vector-valued functions on quantum groups
Martina Balagovic
We generalize Chevalley's theorem about restriction of \mathfrak{g}-invariant polynomial functions \mathfrak{g}->C to W-invariant functions on the Cartan \mathfrak{h}->C. We consid…