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Studying Solutions of a System of PDE Through Representations of D4
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This paper is concerned with applications of representations of the Lie group of class D4 to PDE. A realization of all irreducible finite-dimensional representations of D4 is found and their application to a study of solutions of some systems of partial differential equations is given.
Abstract
This paper is concerned with applications of representations of the Lie group of class D4 to PDE. A realization of all irreducible finite-dimensional representations of D4 is found and their application to a study of solutions of some systems of partial differential equations is given.
참고문헌 (5)
- C. Chevalley., "The Exceptional Simple Lie Algebras F4 and E6", Proc. Natl. Acad. Sci. U. S. A, 36(2), pp.137~141 (1950)
- N. Jacobson, "Lie Algebras" (1962), Interscience
- A. Loutsiouk, "On extreme vectors of Verma modules over complex semisimple Lie algebras", International Journal of Algebra, 2(16), pp.771~778 (2008)
- D. · Zlelobenko, "Compact Lie groups and their representations" (1973), American Mathemat- ical Society
- D. · Zlelobenko, "Operators of discrete symmetry for reductive Lie groups", Izvestia AN USSR, ser. malem, 40(5), pp.1055~1083 (1976)
관련 논문AI추천
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