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This paper investigates representations of the Borel subgroup of the general linear group called flagged Weyl modules , associated to shapes in the plane having two columns. Two formulas for the characters of these modules are given, namely, a recurrence and a generating function over certain...
An action of a local multiplicative group scheme μ p r , k on an affine scheme Spec Ā defined over a field k of characteristic p is described in terms of a locally finite higher derivation of multiplicative type on a k-algebra Ā. We consider a lifting of such an action of μ p r , k to a field...
It is known that a one-relator group G with at least three generators admits a proper free product with amalgamation decomposition ( A ★ B ; C ) with finitely generated factors. We call such a decomposition a Baumslag–Shalen decomposition. Little is known of the exact nature of the factors....
Several forms of decipherability of codes, like unique decipherability, multiset decipherability and set decipherability are subsumed under a general concept of decipherability using varieties of monoids. A Galois connection is established between classes of codes and varieties of monoids,...
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