Find an explicit decomposition into direct product of matrix algebras over division rings
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
Find an explicit decomposition into direct product of matrix algebras over division rings of $M_2(mathbbF_2)otimes_mathbbF_2M_2(mathbbF_2)$.
Actually I have completely no idea about this problem. Please help me with the solutions or even some hints! Thanks in advance!!
abstract-algebra matrices tensor-products
add a comment |Â
up vote
0
down vote
favorite
Find an explicit decomposition into direct product of matrix algebras over division rings of $M_2(mathbbF_2)otimes_mathbbF_2M_2(mathbbF_2)$.
Actually I have completely no idea about this problem. Please help me with the solutions or even some hints! Thanks in advance!!
abstract-algebra matrices tensor-products
$$M_n(k)otimes_k M_m(k)cong M_nm(k)$$ via the Kronecker product: en.wikipedia.org/wiki/Kronecker_product
â Lord Shark the Unknown
Aug 30 at 3:12
@LordSharktheUnknown What if the given ring becomes M2(F4)âÂÂM2(F4)?
â Little Black
Sep 3 at 4:58
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Find an explicit decomposition into direct product of matrix algebras over division rings of $M_2(mathbbF_2)otimes_mathbbF_2M_2(mathbbF_2)$.
Actually I have completely no idea about this problem. Please help me with the solutions or even some hints! Thanks in advance!!
abstract-algebra matrices tensor-products
Find an explicit decomposition into direct product of matrix algebras over division rings of $M_2(mathbbF_2)otimes_mathbbF_2M_2(mathbbF_2)$.
Actually I have completely no idea about this problem. Please help me with the solutions or even some hints! Thanks in advance!!
abstract-algebra matrices tensor-products
abstract-algebra matrices tensor-products
edited Aug 30 at 3:10
Lord Shark the Unknown
88.8k955115
88.8k955115
asked Aug 30 at 2:10
Little Black
235
235
$$M_n(k)otimes_k M_m(k)cong M_nm(k)$$ via the Kronecker product: en.wikipedia.org/wiki/Kronecker_product
â Lord Shark the Unknown
Aug 30 at 3:12
@LordSharktheUnknown What if the given ring becomes M2(F4)âÂÂM2(F4)?
â Little Black
Sep 3 at 4:58
add a comment |Â
$$M_n(k)otimes_k M_m(k)cong M_nm(k)$$ via the Kronecker product: en.wikipedia.org/wiki/Kronecker_product
â Lord Shark the Unknown
Aug 30 at 3:12
@LordSharktheUnknown What if the given ring becomes M2(F4)âÂÂM2(F4)?
â Little Black
Sep 3 at 4:58
$$M_n(k)otimes_k M_m(k)cong M_nm(k)$$ via the Kronecker product: en.wikipedia.org/wiki/Kronecker_product
â Lord Shark the Unknown
Aug 30 at 3:12
$$M_n(k)otimes_k M_m(k)cong M_nm(k)$$ via the Kronecker product: en.wikipedia.org/wiki/Kronecker_product
â Lord Shark the Unknown
Aug 30 at 3:12
@LordSharktheUnknown What if the given ring becomes M2(F4)âÂÂM2(F4)?
â Little Black
Sep 3 at 4:58
@LordSharktheUnknown What if the given ring becomes M2(F4)âÂÂM2(F4)?
â Little Black
Sep 3 at 4:58
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2899025%2ffind-an-explicit-decomposition-into-direct-product-of-matrix-algebras-over-divis%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
$$M_n(k)otimes_k M_m(k)cong M_nm(k)$$ via the Kronecker product: en.wikipedia.org/wiki/Kronecker_product
â Lord Shark the Unknown
Aug 30 at 3:12
@LordSharktheUnknown What if the given ring becomes M2(F4)âÂÂM2(F4)?
â Little Black
Sep 3 at 4:58