Merge branch 'public/modules/fock_space' of git://trac.sagemath.org/s…

…age into public/combinat/kleshchev_partitoins-20564
sagemath · May 3, 2018 · d139e28 · d139e28
2 parents bdba716 + b4f73fa
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diff --git a/src/doc/en/reference/algebras/index.rst b/src/doc/en/reference/algebras/index.rst
@@ -6,6 +6,8 @@ Algebras
 
    sage/algebras/catalog
 
+   quantum_groups
+
 Free associative algebras and quotients
 ---------------------------------------
 

diff --git a/src/doc/en/reference/algebras/quantum_groups.rst b/src/doc/en/reference/algebras/quantum_groups.rst
@@ -0,0 +1,9 @@
+Quantum Groups
+==============
+
+.. toctree::
+   :maxdepth: 2
+
+   sage/algebras/quantum_groups/fock_space
+   sage/algebras/quantum_groups/q_numbers
+
diff --git a/src/doc/en/reference/references/index.rst b/src/doc/en/reference/references/index.rst
@@ -114,6 +114,10 @@ REFERENCES:
              *MacMahon's partition analysis: the Omega package*,
              European J. Combin. 22 (2001), no. 7, 887--904.
 
+.. [Ariki1996] Susumu Ariki.
+               *On the decomposition numbers of the Hecke algebra of*
+               `G(m,1,n)`. J. Math. Kyoto Univ. **36** (1996). pp 789--808.
+
 .. [Ar2006] \D. Armstrong. *Generalized noncrossing partitions and
             combinatorics of Coxeter groups*. Mem. Amer. Math. Soc., 2006.
 
@@ -939,6 +943,10 @@ REFERENCES:
 
 **F**
 
+.. [Fayers2010] Matthew Fayers. *An LLT-type algorithm for computing
+                higher-level canonical bases*. J. Pure Appl. Algebra
+                **214** (2010), no. 12, 2186-2198. :arxiv:`0908.1749v3`.
+
 .. [Fedorov2015] Roman Fedorov, *Variations of Hodge structures for hypergeometric
    differential operators and parabolic Higgs bundles*,
    :arxiv:`1505.01704`
@@ -1169,6 +1177,11 @@ REFERENCES:
 
 .. [Gu] GUAVA manual, http://www.gap-system.org/Packages/guava.html
 
+.. [GW1999] Frederick M. Goodman and Hans Wenzl. *Crystal bases of quantum
+            affine algebras and affine Kazhdan-Lusztig polyonmials*.
+            Int. Math. Res. Notices **5** (1999), 251-275.
+            :arxiv:`math/9807014v1`.
+
 .. [GW2014] \G. Gratzer and F. Wehrung,
             Lattice Theory: Special Topics and Applications Vol. 1,
             Springer, 2014.
@@ -1640,6 +1653,11 @@ REFERENCES:
              Algebra 207 (2006), no 1, pages 1-18.
              Preprint: :arxiv:`math/0504296v2`.
 
+.. [LLT1996] Alain Lascoux, Bernard Leclerc, and Jean-Yves Thibon.
+             *Hecke algebras at roots of unity and crystal bases of
+             quantum affine algebras*. Commun. Math. Phys.
+             **181** (1996), pp 205-263.
+
 .. [LLYCL2005] \H. J. Lee, S. J. Lee, J. H. Yoon, D. H. Cheon, and J. I. Lee,
                *The SEED Encryption Algorithm*; in
                RFC 4269, (2005).

diff --git a/src/sage/algebras/all.py b/src/sage/algebras/all.py
@@ -30,6 +30,7 @@
 
 from .steenrod.all import *
 from .lie_algebras.all import *
+from .quantum_groups.all import *
 
 from .finite_dimensional_algebras.all import FiniteDimensionalAlgebra
 

diff --git a/src/sage/algebras/quantum_groups/__init__.py b/src/sage/algebras/quantum_groups/__init__.py
diff --git a/src/sage/algebras/quantum_groups/all.py b/src/sage/algebras/quantum_groups/all.py
@@ -0,0 +1,7 @@
+"""
+Quantum Groups
+"""
+
+from sage.misc.lazy_import import lazy_import
+lazy_import('sage.algebras.quantum_groups.fock_space', 'FockSpace')
+