A bstract We compute the exact density of states and 2-point function of the\(\mathcal {N}\)=
2 super-symmetric SYK model in the large N double-scaled limit, by using combinatorial …

Finite dimensional irreducible representations of the quantum supergroup U,(gl (m/n)) at
both generic q and q being a root of unity are investigated systematically within the …

Noncommutative algebras, rings and other noncommutative objects, along with their more
classical commutative counterparts, have become a key part of modern mathematics …

On the defining relations of quantum superalgebras Page 1 Letters in Mathematical Physics 23:
127-131, 1991. 9 1991 Kluwer Academic Publishers. Printed in the Netherlands. 127 On the …

Abstract We construct ${2}^{n} $-families of solutions of the Yang–Baxter equation from n-
products of three-dimensional R and L operators satisfying the tetrahedron equation. They …

The Reshetikhin-Turaev approach to topological invariants of three-manifolds is generalized
to quantum supergroups. A general method for constructing three-manifold invariant is …

It is shown that the quantum supergroup U q (osp (1/2 n)) is essentially isomorphic to the
quantum group Uq (so (2 n+ 1)) restricted to tensorial representations. This renders it …

Within the standard quantum mechanics a q-deformation of the simplest N= 2
supersymmetry algebra is suggested. Resulting physical systems do not have conserved …

Page 1 Nankai Lectures on Mathematical Physics QUANTUM GROUP AND QUANTUM
INTEGRABLE SYSTEMS Nankai Institute of Mathematics, China 2-18 April 1991 Editor Mo-Lin …

The structure and representations of the quantum general linear supergroup GL q (m| n) are
studied systematically by investigating the Hopf superalgebra G q of its representative …