R. M. Green

activity

19982008

most citedRepresentations of Lie algebras arising from polytopes

8 citations · 21 across the 11 of their papers we have counts for

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Showing 2007Show all

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math.RT2007★ 8 cited

Representations of Lie algebras arising from polytopes

R. M. Green

We present an extremely elementary construction of the simple Lie algebras over the complex numbers in all of their minuscule representations, using the vertices of various polytop…

math.QA2007★ 1 cited

On the Markov trace for Temperley--Lieb algebras of type $E_{n}$

R. M. Green

We show that there is a unique Markov trace on the tower of Temperley--Lieb type quotients of Hecke algebras of Coxeter type $E_{n}$ (for all $n \geq 6$ ). We explain in detail how th…

math.CO2007

On the maximally clustered elements of Coxeter groups

R. M. Green

We continue the study of the maximally clustered elements for simply laced Coxeter groups which were recently introduced by Losonczy. Such elements include as a special case the fr…

Representations of Lie algebras arising from polytopes

On the Markov trace for Temperley--Lieb algebras of type En​

On the maximally clustered elements of Coxeter groups

On the Markov trace for Temperley--Lieb algebras of type $E_{n}$