Titlebook: Representations of Lie Algebras and Partial Differential Equations; Xiaoping Xu Book 2017 Springer Nature Singapore Pte Ltd. 2017 Represen

deficiency

Oscillator Representations of ,(,|,) and ,inear Lie superalgebra. Then we extend the result to two-parameter .-graded supersymmetric oscillator generalizations of the classical theorem on harmonic polynomials for the ortho-symplectic Lie superalgebras.

含糊

dearth

ARM

Book 2017braic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. ?Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, and highlights new functors from the representati

性學院

平息

Congestion

Representations of , and ,e . and determine their irreducibility. Furthermore, we use partial differential equations to find the explicit irreducible decomposition of the space of polynomial functions on 26-dimensional basic irreducible module of the simple Lie algebra of type ..

bronchiole

Representations of ,Then we study the functor from the module category of . to the module category of . developed. Moreover, we construct a family of irreducible inhomogeneous oscillator representations of the simple Lie algebra of type . on a space of exponential-polynomial functions, related to an explicitly given algebraic variety.

鉗子

Representation Theoretic Codes doubly-even binary orthogonal codes and ternary orthogonal codes with large minimal distances. Moreover, we prove that the weight matrices of ., ., . and . on their minimal irreducible modules and adjoint modules all generate ternary orthogonal codes with large minimal distances.

RAFF