MATRIX REALIZATION AND ITS APPLICATION OF THE LIE ALGEBRA OF TYPE F4

  • CHOI, SEUNGIL (Dept. of Industrial Information College of Industrial Sciences Kongju National University)
  • Received : 2005.12.27
  • Published : 2006.06.30

Abstract

The Lie algebra of type $F_4$ has the 26 dimensional representation. Its matrix realization can be obtained via 26 by 26 matrices and has a direct useful application to degenerate principal series for p-adic groups of type $F_4$.

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