We develop a new approach for the computation of Mullineux involution symmetric group and its Hecke algebra using notion crystal isomorphism Iwahori-Matsumoto affine type \(A\). As consequence, we obtain several elementary combinatorial algorithms computation, one which is equivalent to Xu algorithm (and thus original algorithm). simple interpretation these proof that they indeed compute involu...

The article establishes a necessary and sufficient condition for the isomorphism of log-algebras constructed on different von Neumann algebras by faithful normal finite trace.

All isomorphisms of Plücker spaces on affine spaces with dimensions ≥ 3 arise from collineations of the underlying affine spaces.