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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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Let G ≤ Sn and Χ be any nonzero complex valued function on G. We first study the irreducibility of the generalized matrix polyno- mial dGΧ (X), where X = (xij ) is an n-by-n matrix whose entries are n2 commuting independent indeterminates over C. In particular, we show that if Χ is an irreducible character of G, then dGΧ (X) is an irreducible polynomial, where either G = Sn or G = An and n 6= 2. We then give a necessary and sufficient condition for the equality of two generalized matrix functions on the set of the so-called Χ-singular (Χ-nonsingular) matrices.
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참고문헌 (5)
참고문헌 신청
D. S. Dummit / 2004 / Abstract Algebra / John Wiley and Sons, Inc.
L. B. Beasley / 1983 / On the uniqueness of generalized matrix functions / Proc. Amer. Math. Soc 87 (2) : 229 ~ 232
M. H. Jafari / 2014 / On the equality of generalized matrix functions / Linear Algebra Appl 456 : 16 ~ 21
M. Marcus / 1973 / Finite Dimensional Multilinear Algebra, Part I / Marcel Dekker
R. Merris / 1997 / Multilinear Algebra / Gordon and Breach Science Publishers
L. B. Beasley / 1983 / On the uniqueness of generalized matrix functions / Proc. Amer. Math. Soc 87 (2) : 229 ~ 232
M. H. Jafari / 2014 / On the equality of generalized matrix functions / Linear Algebra Appl 456 : 16 ~ 21
M. Marcus / 1973 / Finite Dimensional Multilinear Algebra, Part I / Marcel Dekker
R. Merris / 1997 / Multilinear Algebra / Gordon and Breach Science Publishers
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