Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities

Details Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities

1994-09-07

arxiv.org/abs/hep-th/9409036v1

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, AmSTeX

Scientific paper

We study the structure of quantized enveloping algebras called twisted Yangians, which are naturally associated with the B, C, and D series of the classical Lie algebras. We obtain an explicit formula for the formal series (the Sklyanin determinant) whose coefficients are free generators of the center of the twisted Yangian. As a corollary we obtain a new system of algebraically independent generators of the center of the universal enveloping algebra for the orthogonal and symplectic Lie algebras and find the characteristic polynomial for the matrix formed by the generators of these Lie algebras.

Affiliated with

Also associated with

No associations

Rating

Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-339319