89 citations · 304 across the 32 of their papers we have counts for
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Central elements and evaluation map for the quantum queer superalgebras
Ming Liu, Alexander Molev, Jian Zhang
We consider the -matrix presentations of the quantum queer superalgebra and its affine counterpart . We derive crossing symmetry relations for the…
The -immanants and higher quantum Capelli identities
Naihuan Jing, Ming Liu, Alexander Molev
We construct polynomials parameterized by Young diagrams , whose coefficients are central elements of the quantized enveloping algebra ${\rm U}_q({\mathfrak{…
Eigenvalues of quantum Gelfand invariants
Naihuan Jing, Ming Liu, Alexander Molev
We consider the quantum Gelfand invariants which first appeared in a landmark paper by Reshetikhin, Takhtadzhyan and Faddeev (1989). We calculate the eigenvalues of the invariants…
Representations of the twisted quantized enveloping algebra of type C_n
A. I. Molev
We prove a version of the Poincare-Birkhoff-Witt theorem for the twisted quantized enveloping algebra U'_q(sp_2n). This is a subalgebra of U_q(gl_2n) and a deformation of the unive…
Skew representations of twisted Yangians
A. I. Molev
Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including the quantized algebra of functions on GL(N) and the Yangia…
A new quantum analog of the Brauer algebra
A. I. Molev
We introduce a new algebra B_l(z,q) depending on two nonzero complex parameters such that B_l(q^n,q) at q=1 coincides with the Brauer algebra B_l(n). We establish an analog of the…