Open AccessPlethystic algebras and vector symmetric functions.
Author(s) -
GianCarlo Rota,
Joël Stein
Publication year - 1994
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.91.26.13062
Subject(s) - hopf algebra , symmetric function , isomorphism (crystallography) , cross product , mathematics , algebra over a field , product (mathematics) , representation theory of hopf algebras , pure mathematics , vector space , ring of symmetric functions , filtered algebra , division algebra , chemistry , orthogonal polynomials , geometry , crystal structure , crystallography , difference polynomials
An isomorphism is established between the plethystic Hopf algebra Pleth(Super[L]) and the algebra of vector symmetric functions. The Hall inner product of symmetric function theory is extended to the Hopf algebra Pleth(Super[L]).