Extensions of the Jacobi identity for generalized vertex algebras
β Scribed by Cristiano Husu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 683 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
A higher-dimensional analogue of the notion of vertex algebra, called that of axiomatic G n -vertex algebra, is formulated with Borcherds' notion of G-vertex algebra as a motivation. Some examples are given and certain analogous duality properties are proved. It is proved that for any vector space W
{O,l, 2,. .}, dimE = n < co), with maximal deficiency indices (n, n), generated by an infinite Jacobi matrix with matrix entries. A description of all maximal dissipative, maximal accretive, selfadjoint, and other extensions of such a symmetric operator is given in terms of boundary conditions at i
Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi