![A Note on Locally Nilpotent Derivations and Variables of k[X,Y,Z]](http://s1.studyres.com/store/data/005260578_1-37b1c4bbe55693dae2b5b98fbc2c091d-300x300.png)
Determinants: Evaluation and Manipulation
... an eigenvalue of A. Thus, if t is not an eigenvalue, then det(I + At B) = det(I + BAt ). Now, det(I + At B) − det(I + BAt ) is a polynomial in t which vanishes everywhere except for the finitely many eigenvalues; hence det(I + At B) − det(I + BAt ) = 0 for all t. Setting t = 0 gives the result. Meth ...
... an eigenvalue of A. Thus, if t is not an eigenvalue, then det(I + At B) = det(I + BAt ). Now, det(I + At B) − det(I + BAt ) is a polynomial in t which vanishes everywhere except for the finitely many eigenvalues; hence det(I + At B) − det(I + BAt ) = 0 for all t. Setting t = 0 gives the result. Meth ...
Universal Drinfeld-Sokolov Reduction and Matrices of Complex Size
... conjecture of B. Feigin and C. Roger. Theorem 1.1 The classical Drinfeld–Sokolov reduction defined on glˆn admits a one-parameter deformation to the Hamiltonian reduction on glˆλ . As a Poisson manifold the result of the reduction coincides with the entire Poisson–Lie group of pseudodifferential ope ...
... conjecture of B. Feigin and C. Roger. Theorem 1.1 The classical Drinfeld–Sokolov reduction defined on glˆn admits a one-parameter deformation to the Hamiltonian reduction on glˆλ . As a Poisson manifold the result of the reduction coincides with the entire Poisson–Lie group of pseudodifferential ope ...