THE BUBBLE ALGEBRAS AT ROOTS OF UNITY
الكلمات المفتاحية:
Temperley-Lieb algebra، multi-colour partition algebras and bubble algebras.الملخص
We introduce multi-colour partition algebras , then define the bubble algebra as a sub-algebra of . We present general techniques to determine the structure of the bubble algebra over the complex field in the non-semisimple case.
المراجع
J. Graham and G. Lehrer, Cellular algebras. Inventiones Mathematicae, 123(1): 1-34, 1996.
U. Grimm and P. Martin. The bubble algebra: structure of a two-colour Temperley-Lieb algebra. J. Physics, 36(42):10551-10571, 2003.
M. Jegan. Homomorphisms between bubble algebra modules. PhD thesis, City University, 2013.
P. Martin. Potts models and related problems in statistical mechanics, volume 5. World Scientific, 1991.
P. Martin, R. Green and A. Parker, Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond, J. of Algebra, 316(1): 392-452, 2007.
D. Ridout and Y. Saint. Standard modules, induction and the structure of the Temperley-Lieb algebra. Advances in Theoretical and Mathematical Physics, 18(5):957-1041, 2014.
التنزيلات
منشور
كيفية الاقتباس
إصدار
القسم
الرخصة
الحقوق الفكرية (c) 2019 Mufida M. Hmaida
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