
POLYNOMIAL BEHAVIOUR OF KOSTKA NUMBERS
... finite dimensional, and N = Z≥0 . We denote by [k] the set of integers {1, . . . , k}. 2. Representations of GLn Definition 1. We define a polynomial representation of the group G = GLn to be a group homomorphism ...
... finite dimensional, and N = Z≥0 . We denote by [k] the set of integers {1, . . . , k}. 2. Representations of GLn Definition 1. We define a polynomial representation of the group G = GLn to be a group homomorphism ...
40(1)
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... Requests for reprint permission should be directed to the editor. However, general permission is granted to members of The Fibonacci Association for noncommercial reproduction of a limited quantity of individual articles (in whole or in part) provided complete reference is made to the source. Annual ...
Solutions #8
... the solution is x = 0. Hence Ker(A)={0}, and dim(Ker(A))=0. (3) Rank(A)=dim(Im(A))=1, Nullity(A)=dim(Ker(A))=0. The rank-nullity theorem is satisfied: 1 + 0 = 1 = the number of columns of A ...
... the solution is x = 0. Hence Ker(A)={0}, and dim(Ker(A))=0. (3) Rank(A)=dim(Im(A))=1, Nullity(A)=dim(Ker(A))=0. The rank-nullity theorem is satisfied: 1 + 0 = 1 = the number of columns of A ...