摘要
We study the Gram matrix determinants for the groups S(n), O(n), B(n), H(n), for their free versions S(n)(+), O(n)(+), B(n)(+), H(n)(+), and for the half-liberated versions O(n)*, H(n)*. We first collect all the known computations of such determinants, along with complete and simplified proofs, and with generalizations where needed. We conjecture that all these determinants decompose as D = Pi(pi) phi(pi); with product over all associated partitions.
- 出版日期2010-11