Double Koszul complex and construction of irreducible representations of gl(3|1)
- Autores: Nguyên Thi Phuong Dung
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3783-3796
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10400-8
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Resumen
Let be a super vector space with super dimension . Manin introduced the Koszul complex associated to , which is denoted . There is another Koszul complex, denoted . Our observation is that these two Koszul complexes can be combined into a double complex, which we call the double Koszul complex. By using the differential of this complex, we give a way to describe all irreducible representations of when has super dimension .
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