Open AccessAUTOMORPHISMS OF ALGEBRAS AND ORTHOGONAL POLYNOMIALS
Author(s) -
Daniel Gromada,
Severin Pošta
Publication year - 2014
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2014.54.0394
Subject(s) - automorphism , orthogonal polynomials , mathematics , discrete orthogonal polynomials , pure mathematics , classical orthogonal polynomials , algebra over a field , wilson polynomials , macdonald polynomials , automorphisms of the symmetric and alternating groups
Suitable automorphisms together with complete classification of representations of some algebras can be used to generate some sets of orthogonal polynomials “at no cost”. This is also the case of nonstandard Klimyk-Gavrilik deformation Uq'(so3) which is connected to q-Racah polynomials.