QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators
Fil: Batistelli, Karina Haydeé. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
| Main Authors: | , |
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| Other Authors: | |
| Format: | info:eu-repo/semantics/publishedVersion |
| Language: | eng |
| Published: |
2024
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| Online Access: | http://hdl.handle.net/11086/553717 https://doi.org/10.33044/revuma.v59n2a01 |
| _version_ | 1811173573507678208 |
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| author | Batistelli, Karina Haydeé Boyallián, Carina |
| author2 | https://orcid.org/0000-0002-0807-5758 |
| author_facet | https://orcid.org/0000-0002-0807-5758 Batistelli, Karina Haydeé Boyallián, Carina |
| author_sort | Batistelli, Karina Haydeé |
| collection | Repositorio Digital Universitario |
| description | Fil: Batistelli, Karina Haydeé. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. |
| format | info:eu-repo/semantics/publishedVersion |
| id | rdu-unc.553717 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.5537172024-09-20T06:36:04Z QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators Batistelli, Karina Haydeé Boyallián, Carina https://orcid.org/0000-0002-0807-5758 https://orcid.org/0000-0001-9347-8940 Lie algebras Pseudodifferential operators Representations info:eu-repo/semantics/publishedVersion Fil: Batistelli, Karina Haydeé. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Batistelli, Karina Haydeé. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Batistelli, Karina Haydeé. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Boyallián, Carina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Boyallián, Carina. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Boyallián, Carina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. In this paper we classify the irreducible quasifinite highest weight modules over the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo-differential operators. We also realize them in terms of the irreducible quasifinite highest weight modules of the Lie algebras of infinite matrices with finitely many nonzero diagonals and its classical Lie subalgebras of types B, C and D. http://inmabb.criba.edu.ar/revuma/pdf/online-first/v59n2a01.pdf info:eu-repo/semantics/publishedVersion Fil: Batistelli, Karina Haydeé. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Batistelli, Karina Haydeé. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Batistelli, Karina Haydeé. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Boyallián, Carina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Boyallián, Carina. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Boyallián, Carina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Matemática Pura 2024-09-19T13:31:53Z 2024-09-19T13:31:53Z 2018 article Batistelli, K. y Boyallián, C. (2018). QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators. Revista de la Unión Matemática Argentina, 59 (2), 205-240. https://doi.org/10.33044/revuma.v59n2a01 0041-6932 http://hdl.handle.net/11086/553717 1669-9637 https://doi.org/10.33044/revuma.v59n2a01 eng Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ Impreso; Electrónico y/o Digital |
| spellingShingle | Lie algebras Pseudodifferential operators Representations Batistelli, Karina Haydeé Boyallián, Carina QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators |
| title | QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators |
| title_full | QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators |
| title_fullStr | QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators |
| title_full_unstemmed | QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators |
| title_short | QHWM of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo-differential operators |
| title_sort | qhwm of the orthogonal and symplectic types lie subalgebras of the lie algebra of the matrix quantum pseudo differential operators |
| topic | Lie algebras Pseudodifferential operators Representations |
| url | http://hdl.handle.net/11086/553717 https://doi.org/10.33044/revuma.v59n2a01 |
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