Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

In an isomorphic copy of the ring of symmetric polynomials we study some families of polynomials which are indexed by rational weight vectors. These families include well known symmetric polynomials, ...

Transactions of the American Mathematical Society, Vol. 341, No. 2 (Feb., 1994), pp. 749-770 (22 pages) The close relationship between orthogonal polynomial sequences and polynomial hypergroups is ...

Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...