Prasad, Amritanshu; Singla, Pooja; SPALLONE, STEVEN(Indiana University Mathematics Journal, 2015)
Let R be a (commutative) local principal ideal ring of length two, for example, the ring R = Z/p(2)Z with p prime. In this paper, we develop a theory of normal forms for similarity classes in the matrix rings M-n (R) by ...
We give a closed formula for the number of partitions A of n such that the corresponding irreducible representation V-lambda of S-n has non-trivial determinant. We determine how many of these partitions are self-conjugate ...
Ganguly, Jyotirmoy; Prasad, Amritanshu; SPALLONE, STEVEN(Electronic Journal of Combinatorics, 2020-04)
Fix a partition mu = (mu(1), ..., mu(m)) of an integer k and positive integer d. For each n >= k, let chi(lambda)(mu) denote the value of the irreducible character chi(lambda) of S-n, corresponding to a partition lambda ...