The authors link suitably generalized deformed phi-coordinated modules of the quantum affine vertex algebra V^c(gl_N) to representations of U_h(gl_N) and O_h(Mat_N), showing that its center at critical level c=-N produces q-analogues of quantum immanants.
Hecke symmetries and characteristic relations on Reflection Equation algebras
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Newton relations and Cayley-Hamilton theorem for the matrix of generators of the RE algebra related to a finite rank even Hecke symmetry are derived.
verdicts
UNVERDICTED 2representative citing papers
Quotienting distinguishable-particle states under ordered-basis, unitary-invariance, and local-counting assumptions produces creation-annihilation algebras that reproduce transtatistics partition functions.
citing papers explorer
-
Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$
The authors link suitably generalized deformed phi-coordinated modules of the quantum affine vertex algebra V^c(gl_N) to representations of U_h(gl_N) and O_h(Mat_N), showing that its center at critical level c=-N produces q-analogues of quantum immanants.
-
Reconstruction of Quantum Fields: CCR, CAR and Transfields
Quotienting distinguishable-particle states under ordered-basis, unitary-invariance, and local-counting assumptions produces creation-annihilation algebras that reproduce transtatistics partition functions.