79 citations · 807 across the 61 of their papers we have counts for
6 papers · 1 filter
Fusion procedure for the Brauer algebra
A. P. Isaev, A. I. Molev
We show that all primitive idempotents for the Brauer algebra B_n(w) can be found by evaluating a rational function in several variables which has the form of a product of R-matrix…
Braids, Shuffles and Symmetrizers
A. P. Isaev, O. V. Ogievetsky
Multiplicative analogues of the shuffle elements of the braid group rings are introduced; in local representations they give rise to certain graded associative algebras (b-shuffle…
Spectral extension of the quantum group cotangent bundle
A. Isaev, P. Pyatov
The structure of a cotangent bundle is investigated for quantum linear groups GLq(n) and SLq(n). Using a q-version of the Cayley-Hamilton theorem we construct an extension of the a…
BRST charges for finite nonlinear algebras
A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky
Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie alg…
On the idempotents of Hecke algebras
A. P. Isaev, A. I. Molev, A. F. Os'kin
We give a new construction of primitive idempotents of the Hecke algebras associated with the symmetric groups. The idempotents are found as evaluated products of certain rational…
BRST operators for W algebras
A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky
The study of quantum Lie algebras motivates a use of non-canonical ghosts and anti-ghosts for non-linear algebras, like W-algebras. This leads, for the W_3 and W_3^(2) algebras, to…