Generalized Loop Modules for Affine Kac–Moody Algebras

Developments and Retrospectives in Lie Theory - Developments in Mathematics ◽

10.1007/978-3-319-09804-3_8 ◽

2014 ◽

pp. 175-183

Author(s):

Vyacheslav Futorny ◽

Iryna Kashuba

Keyword(s):

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Classification of Loop Modules with finite dimensional weight spaces

Mathematische Annalen ◽

10.1007/bf01444242 ◽

1996 ◽

Vol 305 (1) ◽

pp. 651-663 ◽

Author(s):

S. Eswara Rao

Keyword(s):

Finite Dimensional ◽

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Quantum loop modules

Representation Theory of the American Mathematical Society ◽

10.1090/s1088-4165-03-00168-7 ◽

2003 ◽

Vol 7 (3) ◽

pp. 56-80 ◽

Author(s):

Vyjayanthi Chari ◽

Jacob Greenstein

Keyword(s):

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Graded simple modules and loop modules

Groups, Rings, Group Rings, and Hopf Algebras - Contemporary Mathematics ◽

10.1090/conm/688/13826 ◽

2017 ◽

pp. 53-85 ◽

Author(s):

Alberto Elduque ◽

Mikhail Kochetov

Keyword(s):

Simple Modules ◽

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Considerations on the use of commercial loop modules in the excitation of UHF RFID antennas

2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS) ◽

10.1109/ursigass.2014.6929406 ◽

2014 ◽

Author(s):

Jean-Marc Laheurte ◽

Stephane Protat

Keyword(s):

Uhf Rfid ◽

Loop Modules ◽

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Small, synthetic, GC-rich mRNA stem-loop modules 5′ proximal to the AUG start-codon predictably tune gene expression in yeast

Microbial Cell Factories ◽

10.1186/1475-2859-12-74 ◽

2013 ◽

Vol 12 (1) ◽

pp. 74 ◽

Author(s):

Erwin Lamping ◽

Masakazu Niimi ◽

Richard D Cannon

Keyword(s):

Gene Expression ◽

Start Codon ◽

Stem Loop ◽

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Composition of Loop Modules in the Structural Blanks Approach to Programming with Recurrences: A Task of Synthesis of Nested Loops

Informatica ◽

10.15388/informatica.2007.161 ◽

2007 ◽

Vol 18 (1) ◽

pp. 37-54

Author(s):

Vytautas Čyras

Keyword(s):

Nested Loops ◽

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Iterated loop modules and a filtration for vertex representation of toroidal Lie algebras

Pacific Journal of Mathematics ◽

10.2140/pjm.1995.171.511 ◽

1995 ◽

Vol 171 (2) ◽

pp. 511-528 ◽

Author(s):

Senapathi Rao

Keyword(s):

Lie Algebras ◽

Vertex Representation ◽

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QUANTUM LOOP MODULES AND QUANTUM SPIN CHAINS

International Journal of Modern Physics A ◽

10.1142/s0217751x94001588 ◽

1994 ◽

Vol 09 (22) ◽

pp. 3925-3958

Author(s):

DANIEL ALTSCHULER ◽

BRIAN DAVIES

Keyword(s):

Sufficient Conditions ◽

Quantum Spin ◽

Spin Chains ◽

Quantum Affine Algebra ◽

Quantum Spin Chains ◽

Affine Algebra ◽

Highest Weight ◽

Necessary And Sufficient ◽

We construct level-0 modules of the quantum affine algebra [Formula: see text], as the q-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case of highest weight modules. We also consider the role of loop modules in the recent scheme for diagonalizing certain quantum spin chains using their [Formula: see text] symmetry.

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