47 citations · 99 across the 11 of their papers we have counts for
14 papers
Representations of the rational Cherednik algebra $H_{t,c}(S_3,\h)$ in positive characteristic
Martina Balagovic, Jordan Barnes
We study the rational Cherednik algebra $H_{t,c}(S_3,\h)$ of type in positive characteristic , and its irreducible category representations . For…
The affine VW supercategory
Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud +7
We define the affine VW supercategory , which arises from studying the action of the periplectic Lie superalgebra $\mathfrak{p}(…
Translation functors and decomposition numbers for the periplectic Lie superalgebra
Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud +7
We study the category of finite-dimensional integrable representations of the periplectic Lie superalgebra . We define an action of the Temperley--…
The Harish-Chandra isomorphism for quantum GL_2
Martina Balagovic, David Jordan
We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian reduction of the algebra D_q(GL_2) of quantum differential operators on GL_2, to the spherical dou…
Universal K-matrix for quantum symmetric pairs
Martina Balagovic, Stefan Kolb
Let be a symmetrizable Kac-Moody algebra and let denote the corresponding quantized enveloping algebra. In the present paper we show that quantum…
The bar involution for quantum symmetric pairs
Martina Balagovic, Stefan Kolb
We construct a bar involution for quantum symmetric pair coideal subalgebras corresponding to involutive automorphisms of the second kind of symmetrizab…
Irreducible modules for the degenerate double affine Hecke algebra of type as submodules of Verma modules
Martina Balagovic
We give a full classification, in terms of periodic skew diagrams, of irreducible semisimple modules in category O for the degenerate double affine Hecke algebra of type A which ca…
Degeneration of trigonometric dynamical difference equations for quantum loop algebras to trigonometric Casimir equations for Yangians
Martina Balagovic
We show that, under Drinfeld's degeneration of quantum loop algebras to Yangians, the trigonometric dynamical difference equations for the quantum affine algebra degenerate to the…
Category O for Rational Cherednik Algebras H_{t,c}(GL_2(F_p),h) in Characteristic p
Martina Balagovic, Harrison Chen
In this paper we describe the characters of irreducible objects in category O for the rational Cherednik algebra associated to GL_2(F_p) over an algebraically closed field of posit…
Representations of Rational Cherednik Algebras in Positive Characteristic
Martina Balagovic, Harrison Chen
We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on ratio…
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…