Temperley-Lieb R-matrices from generalized Hadamard matrices

Jacket matrices constructed from Hadamard matrices and generalized Hadamard matrices

A Faithful Representation of Temperley-Lieb Algebras in Matrices

It is shown that Temperley-Lieb algebras in which the multiplicative generators satisfy hihi = nhi for n ≥ 2 can be isomorphically represented in matrices. Mathematics Subject Classification (2000): 57M99, 15A03, 16G99, 05C50

Quasi-Cyclic Generalized Hadamard Matrices

In this paper, we define quasi-cyclic(QC) generalized Hadamard matrices and balanced QC generalized Hadamard matrices. Then we propose a new construction method for QC generalized Hadamard matrices. The proposed matrices are constructed from the balanced optimal low correlation zone(LCZ) sequence set which has correlation value −1 within low correlation zone.

Expanding generalized Hadamard matrices over Gm by substituting several generalized Hadamard matrices over G

Over an additive abelian group of order and for a given positive integer , a generalized Hadamard matrix is defined as a matrix , where and , such that every element of appears exactly times in the list , , , , for any . In this paper, we propose a new method of expanding a over by replacing each of its -tuple with where . We may use (not necessarily all distinct) ’s for the substitution and th...

On Generalized Hadamard Matrices and Difference Matrices: Z6

(Caution: please note Jennifer Seberry has tried but been unable to contact the persons named as co-authors. Apolgogies for half finished results.) We note that the literature on this subject is very disorganized. Authors have not read the literature on their own key-words and papers thus ignored, on the other hand papers have been claimed to be published which have not. We have put together th...