34 citations · 230 across the 32 of their papers we have counts for
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Highest weight irreducible representations of the quantum algebra
T. D. Palev, N. I. Stoilova
A class of highest weight irreducible representations of the algebra , the quantum analogue of the completion and central extension of the Lie algebra $gl…
A q-deformation of the parastatistics and an alternative to the Chevalley description of
T. D. Palev
The paper contains essentially two new results. Physically, a deformation of the parastatistics in a sense of quantum groups is carried out. Mathematically, an alternative to the C…
Highest weight representations of the quantum algebra U_h(gl_\infty)
T. D. Palev, N. I. Stoilova
A class of highest weight irreducible representations of the quantum algebra U_h(gl_\infty) is constructed. Within each module a basis is introduced and the transformation relation…
An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]
Tchavdar D. Palev, Preeti Parashar
An alternative to the Chevalley description of Lie algebra sl(n+1), of its universal enveloping algebra U[sl(n+1)] and of its q-deformed analogue U_q[sl(n+1)] in terms of generator…
A decription of the quantum superalgebra via Green generators
Tchavdar D. Palev
A description of the orthosymplectic Lie superalgebra and also of its deformed analogue in terms of a new set of generators, called Green gen…
New Solutions of the Yang-Baxter Equation Based on Root of 1 Representations of the Para-Bose Superalgebra U[osp(1/2)]
T. D. Palev, N. I. Stoilova
New solutions of the quantum Yang-Baxter equation, depending in general on three arbitrary parameters, are written down. They are based on the root of unity representations of the…