Extensions of the Tensor Algebra and Their Applications
DOI10.1080/00927872.2011.590952zbMath1271.15008arXiv0909.5586OpenAlexW2122445697MaRDI QIDQ3145446
Publication date: 20 December 2012
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.5586
Weyl algebrasymmetric grouprepresentation theorycanonical commutation relationsClifford algebrainvariant theorySchur-Weyl dualityCapelli identitytensor algebraquantum immanantscentral elements of universal enveloping algebras
Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Universal enveloping (super)algebras (17B35) Vector and tensor algebra, theory of invariants (15A72) Commutativity of matrices (15A27) Clifford algebras, spinors (15A66)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Capelli identities for reductive dual pairs
- Quantum Berezinian and the classical Capelli identity
- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras
- Capelli identities for classical Lie algebras
- Application of Koszul complex to Wronski relations for \(U(\mathfrak{gl}_n)\)
- Capelli identities for the dual pair \((\text{O}_M,\text{Sp}_N)\)
- Symmetric polynomials and the center of the symmetric group ring
- Quantum immanants and higher Capelli identities
- Two determinants in the universal enveloping algebras of the orthogonal Lie algebras
- On the Proof of the Capelli Identities
- TWO PERMANENTS IN THE UNIVERSAL ENVELOPING ALGEBRAS OF THE SYMPLECTIC LIE ALGEBRAS
- Newton’s formula for 𝔤𝔩_{𝔫}
- On Turnbull identity for skew-symmetric matrices
- A Cayley-Hamilton theorem for the skew Capelli elements
This page was built for publication: Extensions of the Tensor Algebra and Their Applications