6 citations · 20 across the 5 of their papers we have counts for
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Vogel's universality and Macdonald dimensions
Liudmila Bishler
We discuss algebraic universality in the sense of P. Vogel for the simplest refined quantity, the Macdonald dimensions. The main known source of universal quantities is given by Ch…
Macdonald deformation of Vogel's universality and link hyperpolynomials
Liudmila Bishler, Andrei Mironov, Alexei Morozov
Vogel's universality implies a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters , which are homogeneou…
Torus knots in adjoint representation and Vogel's universality
Liudmila Bishler, Andrei Mironov
Vogel's universality gives a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters , which are homogeneous…
On Refined Vogel's universality
Liudmila Bishler, Andrei Mironov
In accordance with P. Vogel, a set of algebra structures in Chern-Simons theory can be made universal, independent of a particular family of simple Lie algebras. In particular, thi…
Invariants of knots and links at roots of unity
Liudmila Bishler, Andrei Mironov, Andrey Morozov
We present a comprehensive classification of invariants of knots and links associated with irreducible representations of \uqslN{}, when the parameter of quantization is a root…