Let \hat{g} be an untwisted affine Kac-Moody algebra over the field C, and let U_q(\hat{g}) be the associated quantum enveloping algebra; let \frak{U}_q(\hat{g}) be the Lusztig’s integer form of U_q(\hat{g}), generated by q-divided powers of Chevalley generators over a suitable subring R of C(q). We prove a Poincaré-Birkhoff-Witt like theorem for \frak{U}_q(\hat{g}), yielding a basis over R made of ordered products of q-divided powers of suitable quantum root vectors.
Gavarini, F. (1999). A PBW basis for lusztig's form of untwisted affine quantum groups. COMMUNICATIONS IN ALGEBRA, 27(2), 903-918 [10.1080/00927879908826468].
A PBW basis for lusztig's form of untwisted affine quantum groups
GAVARINI, FABIO
1999-01-01
Abstract
Let \hat{g} be an untwisted affine Kac-Moody algebra over the field C, and let U_q(\hat{g}) be the associated quantum enveloping algebra; let \frak{U}_q(\hat{g}) be the Lusztig’s integer form of U_q(\hat{g}), generated by q-divided powers of Chevalley generators over a suitable subring R of C(q). We prove a Poincaré-Birkhoff-Witt like theorem for \frak{U}_q(\hat{g}), yielding a basis over R made of ordered products of q-divided powers of suitable quantum root vectors.| File | Dimensione | Formato | |
|---|---|---|---|
|
PBW-qaff-ref.pdf
accesso aperto
Descrizione: This is the Author's own post-print version (final draft, after refereeing))
Licenza:
Copyright dell'editore
Dimensione
315.89 kB
Formato
Adobe PDF
|
315.89 kB | Adobe PDF | Visualizza/Apri |
|
PBW-qaff_STA.pdf
solo utenti autorizzati
Descrizione: This is the Editor's (Taylor & Francis) printed version
Licenza:
Copyright dell'editore
Dimensione
623.52 kB
Formato
Adobe PDF
|
623.52 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
Scopus-metadata.pdf
solo utenti autorizzati
Descrizione: This is Scopus' online page with all bibliographic metadata of this article
Licenza:
Non specificato
Dimensione
129.69 kB
Formato
Adobe PDF
|
129.69 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
WoS-metadata.pdf
solo utenti autorizzati
Descrizione: This is Web of Science's online page with all bibliographic metadata of this article
Licenza:
Non specificato
Dimensione
108.09 kB
Formato
Adobe PDF
|
108.09 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
