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The exponential nature and positivity
Hans Plesner Jakobsen, Hechun Zhang
In the present article, a basis of the coordinate algebra of the multi-parameter quantized matrix is constructed by using an elementary method due to Lusztig. The construction depe…
On dual canonical bases
Hechun Zhang
The dual basis of the canonical basis of the modified quantized enveloping algebra is studied, in particular for type . The construction of a basis for the coordinate algebra of…
Dual canonical bases for the quantum general linear supergroup
Hechun Zhang, R. B. Zhang
Dual canonical bases of the quantum general linear supergroup are constructed which are invariant under the multiplication of the quantum Berezinian. By setting the quantum Berezin…
Dual canonical bases for the quantum special linear group and invariant subalgebras
Hechun Zhang, R. B. Zhang
A string basis is constructed for each subalgebra of invariants of the function algebra on the quantum special linear group. By analyzing the string basis for a particular subalgeb…