منابع مشابه
Codes and invariant theory
There is a beautiful analogy between most of the notions for lattices and codes and it seems to be quite promising to develop coding theory analogues of concepts known in the theory of lattices and modular forms and vice versa. Some of these analogies are presented in this short note that intends to survey recent developments connected to my talk Hecke-Operators for codes in Luminy, on May 9, 2...
متن کاملCombinatorics, Superalgebras, Invariant Theory and Representation Theory
We provide an elementary introduction to the (characteristic zero) theory of Letterplace Superalgebras, regarded as bimodules with respect to the superderivation actions of a pair of general linear Lie superalgebras, and discuss some applications.
متن کاملGraph Theory and Classical Invariant Theory
Classical invariant theory has died and been resurrected many times. Its golden age in the last century was marked with the flowering of unsurpassed computational ability, and the explicit determination of the invariants of most of the elementary polynomials. The computational approach is commonly acknowledged to have been dealt a death-blow by Hilbert’s celebrated Basis Theorem, an existential...
متن کاملGeometric invariant theory and flips
Ever since the invention of geometric invariant theory, it has been understood that the quotient it constructs is not entirely canonical, but depends on a choice: the choice of a linearization of the group action. However, the founders of the subject never made a systematic study of this dependence. In light of its fundamental and elementary nature, this is a rather surprising gap, and this pap...
متن کاملEpipelagic representations and invariant theory
We introduce a new approach to the representation theory of reductive p-adic groups G, based on the Geometric Invariant Theory (GIT) of Moy-Prasad quotients. Stable functionals on these quotients are used to give a new construction of supercuspidal representations of G having small positive depth, called epipelagic. With some restrictions on p, we classify the stable and semistable functionals ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1987
ISSN: 0022-4049
DOI: 10.1016/0022-4049(87)90033-8