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Symplectic basis
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Mathematics
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A
symplectic basis
is
a
particular type of
basis
for
a
symplectic vector space
, which is
a
vector space
equipped with
a
non-degenerate,
skew
-
symmetric bilinear form
known
as
the
symplectic form
.
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Algebra
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Symplectic basis
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Created
2026-09-24
Updated
2026-09-24
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A
symplectic basis
(
e
1
,
…
,
e
n
,
f
1
,
…
,
f
n
)
has
pairings
ω
(
e
i
,
f
j
)
=
δ
ij
and all
pairings
between two
e
i
or two
f
i
equal to zero.
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