Twisted immanant and matrices with anticommuting entries
نویسندگان
چکیده
منابع مشابه
On families of anticommuting matrices
Let e1, . . . , ek be complex n× n matrices such that eiej = −ejei whenever i 6= j. We conjecture that • rk(e21) + rk(e 2 2) + · · ·+ rk(e 2 k) ≤ O(n log n). We show that (i). rk(en1 ) + rk(e n 2 ) + · · ·+ rk(e n k ) ≤ O(n log n), (ii). if e21, . . . , e 2 k 6= 0 then k ≤ O(n), (iii). if e1, . . . , ek have full rank, or at least n−O(n/ log n), then k = O(log n). (i) implies that the conjectur...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2015
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2015.1112343