تقرير
An entropic partial order on a parabolic quotient of S6
العنوان: | An entropic partial order on a parabolic quotient of S6 |
---|---|
المؤلفون: | McConnell, Gary |
سنة النشر: | 2012 |
المجموعة: | Mathematics Quantum Physics |
مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Group Theory, Quantum Physics |
الوصف: | Let m and n be any integers with n>m>=2. Using just the entropy function it is possible to define a partial order on S_mn (the symmetric group on mn letters) modulo a subgroup isomorphic to S_m x S_n. We explore this partial order in the case m=2, n=3, where thanks to the outer automorphism the quotient space is actually isomorphic to a parabolic quotient of S_6. Furthermore we show that in this case it has a fairly simple algebraic description in terms of elements of the group ring. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1209.2674 |
رقم الأكسشن: | edsarx.1209.2674 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |