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On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...
Polynomial algebras and exact solutions of general quantum non-linear optical models I: Two-mode boson systems
Polynomial algebras exact solutions quantum non-linear optical
2010/4/2
We introduce higher order polynomial deformations of $A_1$ Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use...
On the Action of Steenrod Operations on Polynomial Algebras
Polynomial Algebras Let \( \bba \)
2010/3/4
Let \( \bba \) be the mod-\( p \) Steenrod Algebra. Let \( p \) be an odd prime number and \( Zp = Z/pZ \). Let \( Ps = Zp [x1,x2,\ldots,xs]. \) A polynomial \( N \in Ps \) is said to be hit if it is ...