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IPM Positions 

Senior Associate Researcher, School of Mathematics
(2014  2016 (From September 23 in IPMIsfahan Branch till September 21, 2016)) 

Past IPM Positions 

Senior Associate Researcher, School of Mathematics
(2010  2013) Associate Researcher (nonresident), School of Mathematics (2006  2007) Associate Researcher (nonresident), School of Mathematics (2005  2006) Associate Researcher (nonresident), School of Mathematics (2003  2004) Associate Researcher (nonresident), School of Mathematics (1988  2003) 

Non IPM Affiliations 

Professor of University of Isfahan  
Research Activities 

There are two notions of extended affine root systems in the literature which
both are introduced axiomatically. One extended affine root system (called SEARS
for short) which is introduced in 1985 by K. Saito, consists of only non
isotropic roots, while the other extended affine root system (called EARS for
short) which is introduced in 1997 by B. Allison, S. Azam, S. Berman, Y. Gao and
A. Pianzola, contains certain isotropic roots too.
In 2002, the relation between SEARS and EARS is clarified. In fact it is known that there is a one to one correspondence between (reduced) SEAR and EARS. In 1997, the BCtype EARS of nullity less than or equal ? 3 are classified, so the classification problem for BCtype SEARS of nullity less than or equal ? 3 is completely solved. Here two more natural questions arise. Namely, what is the relation between SEARS (not necessarily reduced) and EARS? and what is the classification list for BCtype SEARS (not necessarily reduced) of nullity less than or equal 3? The goal of this project is to investigate the above two questions. 

Related Papers 
1.  S. Azam A new characterization of KacMoodyMalcev superalgebras J. Algebra Appl. 16 (2017), # 15 Pages [abstract] 
2.  S. Azam, G. Behboodi and M. Yousofzadeh Direct unions of Lie Tori (realization of locally extended affine Lie algebras) Comm. Algebra 44 (2016), 53095341 [abstract] 
3.  S. Azam (Joint with G. Behboodi and M. Yousofzadeh) Direct unions of Lie tori (Realization of locally extended affine Lie algebras) Comm. Algebra 44 (2016), 53095341 [abstract] 
4.  S. Azam and M. Yousofzadeh (Joint with H. Yamane) Classification of finitedimensional irreducible representations of generalized quantum groups via Weyl groupoids Publ. RIMS, Kyoto Univ. 51 (2015), 59130 [abstract] 
5.  S. Azam and M. Yousofzadeh (Joint with Y. Yoshi) Jordan tori for a torsion free abelian group Front. Math. China 10 (2015), 477509 [abstract] 
6.  S. Azam (Joint with K.H. Neeb) Finite dimensional compact and unitary Lie superalgebras J. Pure Appl. Algebra 219 (2015), 44224440 [abstract] 
7.  S. Azam (Joint with M. Nikouei) A length function for Weyl groups of extended affine root systems of type A_{1} Algebra Colloq. (Accepted) [abstract] 
8.  S. Azam (Joint with M. Nikouei) Weyl groups associated with affine reflection systems of type A_{1} (Coxeter type defining relations) Publ. RIMS, Kyoto Univ. 49 (2013), 123153 [abstract] 
9.  S. Azam and M. Yousofzadeh (Joint with H. Yamane) Reflectable bases for affine reflection systems J. Algebra 371 (2012), 6393 [abstract] 
10.  S. Azam and M. Yousofzadeh (Joint with S. Reza Hosseini) Extended affinization of invariant affine reflection algebras Osaka J. Math. (Accepted) [abstract] 
11.  S. Azam and M. Yousofzadeh Root systems arising from automorphisms J. Algebra Appl. 11 (2012), #P29 [abstract] 
12.  S. Azam (Joint with H. Yamane and M. Yousofzadeh) Exposition on affine and elliptic root systems and elliptic Lie algebras ( In: The Proceedings of New developments in group representation theory and noncommutative harmonic analysis) [abstract] 
13.  S. Azam (Joint with V. Shahsanaei) Extended affine Weyle group: Presentation by conjugation via integral collection Comm. Algebra 39 (2011), 730749 [abstract] 
14.  S. Azam (Joint with H. Yamane and M. Yousofzadeh) A finite presentation of universal coverings of Lie tori Publ. RIMS, Kyoto Univ. 46 (2010), 507548 [abstract] 
15.  S. Azam (Joint with V. Shahsanaei) On the presentations of extended affine Weyl groups Publ. RIMS, Kyoto Univ. 44 (2008), 131161 [abstract] 
16.  S. Azam Derivations of tensor product algebras Comm. Algebra 36 (2008), 905927 [abstract] 
17.  S. Azam (Joint with V. Shahsanaei) Simply laced extended affine Weyl groups (a finite presentation) Publ. RIMS, Kyoto Univ. 43 (2007), 403424 [abstract] 
18.  S. Azam Derivations of multiloop algebras Forum Math. 19 (2007), 1029�1045 [abstract] 
19.  S. Azam, S. Berman and M. Yousofzadeh Fixed point subalgebras of extended affine lie algebras J. Algebra 287 (2005), 351380 [abstract] 
20.  S. Azam, V. Khalili and M. Yousofzadeh Extended affine root systems of type BC J. Lie Theory 15 (2005), 145181 [abstract] 
21.  S. Azam Nonreduced extended affine Weyl groups J. Algebra 269 (2003), 508527 [abstract] 
22.  S. Azam Extended affine root systems J. Lie Theory 12 (2002), 515527 [abstract] 
23.  S. Azam A presentation for reduced extended affine Weyl groups Comm. Algebra 28 (2000), 465488 [abstract] 
24.  S. Azam On the relation of extended affine Weyl groups and indefinite Weyl groups J. Algebra 222 (1999), 174189 [abstract] MR 2000j:17031 
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