We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Let be a commutative ring containing a primitive $l'$th root $\varepsilon $ of $1$. The infinitesimal q-Schur algebras over form an ascending chain of subalgebras of the q-Schur algebra , which are useful in studying representations of the Frobenius kernel of the associated quantum linear group. Let be the quantized enveloping algebra of $\mathfrak {gl}_n$ over . There is a natural surjective algebra homomorphism $\zeta _{d}$ from to . The map $\zeta _{d}$ restricts to a surjective algebra homomorphism $\zeta _{d,r}$ from to , where is a certain Hopf subalgebra of , which is closely related to Frobenius–Lusztig kernels of . We give the extra defining relations needed to define the infinitesimal q-Schur algebra as a quotient of . The map $\zeta _{d,r}$ induces a surjective algebra homomorphism , where is the modified quantum algebra associated with . We also give a generating set for the kernel of $\dot {\zeta }_{d,r}$. These results can be used to give a classification of irreducible -modules over a field of characteristic p.
Recommend this
Email your librarian or administrator to recommend adding this to your organisation's collection.